The total interest earned after 1 year when Php 100,000 is invested, part of 6% annual interest rate and the remaining part at 7.5% annual interest rate

To solve this problem, we need to determine how much of the Php 100,000 is invested at 6% and how much is invested at 7.5% in order to calculate the total interest earned after 1 year.

Let's denote:
- \( x \) as the amount invested at 6% annual interest.
- \( y \) as the amount invested at 7.5% annual interest.

We know the following:
1. \( x + y = 100,000 \) (the total investment).
2. The total interest earned from both investments after 1 year can be calculated as:
   \[
   \text{Interest} = 0.06x + 0.075y
   \]

However, without knowing the specific amounts \( x \) and \( y \), we cannot calculate the exact interest earned. If you have more details, like the interest earned or the proportion of the investment in each rate, I can provide a more precise answer. 

If the problem is looking for a formula or expression for the total interest earned based on \( x \), it would be:

\[
\text{Total Interest} = 0.06x + 0.075(100,000 - x)
\]

This simplifies to:

\[
\text{Total Interest} = 0.06x + 7,500 - 0.075x = -0.015x + 7,500
\]

So, the total interest is dependent on how

Learn how to calculate the total interest earned after 1 year when investing Php 100,000, part at 6% and the remainder at 7.5% annual interest rates. This problem involves using the simple interest formula and understanding percentages and investment allocation. Suitable for high school students studying financial mathematics.

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